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Finding the Fourth Proportional to 95.54, 132.21 and 82.58

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Solution

The fourth proportional to 95.54, 132.21 and 82.58 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.54 : 132.21 = 82.58 : x
  2. Step 2: Convert to fraction form
    95.54/132.21 = 82.58/x
  3. Step 3: Cross multiply
    95.54x = 132.21 × 82.58
  4. Step 4: Simplify right side
    95.54x = 10,917.90
  5. Step 5: Solve for x
    x = 10,917.90/95.54
  6. Step 6: Final answer
    x = 114.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.